A117980 - OEIS

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A117980

Legendre-binomial transform of (-1)^n for p=3.

1, 0, 3, 0, 0, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 27, 0, 0, 0, 27, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`a(n)=a(3n)=a(3n+2)/3; a(3n+2)=0.`
	FORMULA	`a(n)=sum{k=0..n, L(C(n,k)/3)*(-1)^k} where L(j/p) is the Legendre symbol of j and p.`
	CROSSREFS	`Sequence in context: A206705 A200221 A158678 * A065032 A007514 A151671` `Adjacent sequences: A117977 A117978 A117979 * A117981 A117982 A117983`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 06 2006`

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Last modified February 15 21:03 EST 2012. Contains 205852 sequences.